29685567025 has 27 divisors (see below), whose sum is σ = 39122074369. Its totient is φ = 22340458880.

The previous prime is 29685567007. The next prime is 29685567049. The reversal of 29685567025 is 52076558692.

The square root of 29685567025 is 172295.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 694375201 + 28991191824 = 26351^2 + 170268^2 .

It is not a de Polignac number, because 29685567025 - 2⁹ = 29685566513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14644062 + ... + 14646088.

Almost surely, 2^29685567025 is an apocalyptic number.

29685567025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29685567025 is the 172295-th square number.

29685567025 is the 86148-th centered octagonal number.

It is an amenable number.

29685567025 is a deficient number, since it is larger than the sum of its proper divisors (9436507344).

29685567025 is an frugal number, since it uses more digits than its factorization.

29685567025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 29685567025 in words is "twenty-nine billion, six hundred eighty-five million, five hundred sixty-seven thousand, twenty-five".